Help me pls! I don't understand my math omg

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

Find dy/dx using implicit differentiation ln(20+e^xy)=y

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.